106652820 has 24 divisors (see below), whose sum is σ = 298628064. Its totient is φ = 28440736.

The previous prime is 106652813. The next prime is 106652831. The reversal of 106652820 is 28256601.

It is a super-2 number, since 2×106652820² = 22749648027904800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 888714 + ... + 888833.

It is an arithmetic number, because the mean of its divisors is an integer number (12442836).

Almost surely, 2^106652820 is an apocalyptic number.

106652820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106652820 is an abundant number, since it is smaller than the sum of its proper divisors (191975244).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

106652820 is a wasteful number, since it uses less digits than its factorization.

106652820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1777559 (or 1777557 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 106652820 is about 10327.2852192626. The cubic root of 106652820 is about 474.2319184123.

The spelling of 106652820 in words is "one hundred six million, six hundred fifty-two thousand, eight hundred twenty".